What is the Greatest Common Factor of 5834 and 5838?

Greatest common factor (GCF) of 5834 and 5838 is 2.

GCF(5834,5838) = 2

We will now calculate the prime factors of 5834 and 5838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5834 and 5838.

How to find the GCF of 5834 and 5838?

We will first find the prime factorization of 5834 and 5838. After we will calculate the factors of 5834 and 5838 and find the biggest common factor number .

Step-1: Prime Factorization of 5834

Prime factors of 5834 are 2, 2917. Prime factorization of 5834 in exponential form is:

5834 = 2¹ × 2917¹

Step-2: Prime Factorization of 5838

Prime factors of 5838 are 2, 3, 7, 139. Prime factorization of 5838 in exponential form is:

5838 = 2¹ × 3¹ × 7¹ × 139¹

Step-3: Factors of 5834

List of positive integer factors of 5834 that divides 5834 without a remainder.

1, 2, 2917

Step-4: Factors of 5838

List of positive integer factors of 5838 that divides 5834 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5834 and 5838. The biggest common factor number is the GCF number.
So the greatest common factor 5834 and 5838 is 2.

Also check out the Least Common Multiple of 5834 and 5838